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Nonlinear elliptic equations involving the p-laplacian with mixed Dirichlet-Neumann boundary conditions

Bonanno Gabriele, D'Agui Giuseppina, Sciammetta Angela

Opuscula Mathematica

2019

Vol. 39, no. 2

159--174

In this paper, a nonlinear differential problem involving the p-Laplacian operator with mixed boundary conditions is investigated. In particular, the existence of three non-zero solutions is established by requiring suitable behavior on the nonlinearity. Concrete examples illustrate the abstract results.